When temperature is increased, the difference between most probable velocity, RMS velocity and avera — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

the characteristic velocities are: u_mp = √(2rt/m), u_avg = √(8rt/πm), u_rms = √(3rt/m). the differences between them (e.g., u_rms - u_mp = (√3 - √2) × √(rt/m)) are directly ∝ √t. as temperature t increases, √t increases, and thus the absolute differences between these velocities increase.